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240201381 = 37217277347
BaseRepresentation
bin11100101000100…
…10111010100101
3121201222111100110
432110102322211
5442442421011
635500203233
75644451400
oct1624227245
9551874313
10240201381
11113650942
1268539519
133a9c16c4
1423c88d37
151614aba6
hexe512ea5

240201381 has 48 divisors (see below), whose sum is σ = 397037376. Its totient is φ = 128346624.

The previous prime is 240201371. The next prime is 240201407. The reversal of 240201381 is 183102042.

240201381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240201381 - 218 = 239939237 is a prime.

It is a super-2 number, since 2×2402013812 = 115393406868614322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240201301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692050 + ... + 692396.

It is an arithmetic number, because the mean of its divisors is an integer number (8271612).

Almost surely, 2240201381 is an apocalyptic number.

240201381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

240201381 is a deficient number, since it is larger than the sum of its proper divisors (156835995).

240201381 is a wasteful number, since it uses less digits than its factorization.

240201381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 240201381 is about 15498.4315658069. The cubic root of 240201381 is about 621.6202685948.

The spelling of 240201381 in words is "two hundred forty million, two hundred one thousand, three hundred eighty-one".

Divisors: 1 3 7 17 21 49 51 119 147 277 347 357 831 833 1041 1939 2429 2499 4709 5817 5899 7287 13573 14127 17003 17697 32963 40719 41293 51009 96119 98889 123879 230741 288357 289051 672833 692223 867153 1634023 2018499 4709831 4902069 11438161 14129493 34314483 80067127 240201381